Question

Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)

Answer 1

a+jb atjb M: M 180-t a-jb -a-jb a b) M tai 2,2 (2,9)(220): 212,2(0,10) -) 2 O 2 COAO +j2sino atjb 24 a-b 10-30 t(3-j4) 3) 2 (2ju) (3+) .6601-j9 -14 +j 4.12962-37.6628 2 6. OTG8Z 122.42 O 5648-160 .134 Y553 + i Z 45 3. o03.993 +1+ Y 7 = ५.००१ + ५.११3॥ 6. 40344 S.2386 y Y 6.403 COA(ot +51.2386)

s) tso9) lo Sin C 102-4o 3 Vrep ाड Чo S0, = 12 Vlead 30

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